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144342242340 = 22354861494899
BaseRepresentation
bin1000011001101101110…
…1111101010000100100
3111210120110101122102120
42012123131331100210
54331103103223330
6150150535105540
713266635546652
oct2063335752044
9453513348376
10144342242340
115624048407a
1223b83b122b0
13107c438186a
146db41cddd2
153b4c04bc10
hex219b77d424

144342242340 has 48 divisors (see below), whose sum is σ = 404242238400. Its totient is φ = 38483268480.

The previous prime is 144342242323. The next prime is 144342242347. The reversal of 144342242340 is 43242243441.

144342242340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144342242347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44211 + ... + 539109.

It is an arithmetic number, because the mean of its divisors is an integer number (8421713300).

Almost surely, 2144342242340 is an apocalyptic number.

144342242340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144342242340 is an abundant number, since it is smaller than the sum of its proper divisors (259899996060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144342242340 is a wasteful number, since it uses less digits than its factorization.

144342242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499772 (or 499770 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 144342242340 its reverse (43242243441), we get a palindrome (187584485781).

The spelling of 144342242340 in words is "one hundred forty-four billion, three hundred forty-two million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4861 9722 14583 19444 24305 29166 48610 58332 72915 97220 145830 291660 494899 989798 1484697 1979596 2474495 2969394 4948990 5938788 7423485 9897980 14846970 29693940 2405704039 4811408078 7217112117 9622816156 12028520195 14434224234 24057040390 28868448468 36085560585 48114080780 72171121170 144342242340